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Finding the Fourth Proportional to 55,026.96, 75,939.03 and 30,828.96

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Solution

The fourth proportional to 55,026.96, 75,939.03 and 30,828.96 is: 42,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,026.96 : 75,939.03 = 30,828.96 : x
  2. Step 2: Convert to fraction form
    55,026.96/75,939.03 = 30,828.96/x
  3. Step 3: Cross multiply
    55,026.96x = 75,939.03 × 30,828.96
  4. Step 4: Simplify right side
    55,026.96x = 2,341,121,318.31
  5. Step 5: Solve for x
    x = 2,341,121,318.31/55,026.96
  6. Step 6: Final answer
    x = 42,544.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.